Taking into account that polynomials are dense in \(H^p\)  (see, e. g., [1]}), for every \(f\in H^p\)  one can choose a sequence \(q_n\)  of polynomials
that converges to \(f\)  in \(H^p\) . Since
\(l_h(q_n)\rightarrow l_h(f), \ l_g(q_n\circ \varphi _w)\rightarrow l_g(f\circ \varphi _w) \mbox{ as } n\rightarrow \infty ,\) 
